annotate libtommath/bn_fast_s_mp_mul_high_digs.c @ 925:bae0b34bc059 pam

Better PAM through recursion
author Matt Johnston <matt@ucc.asn.au>
date Wed, 12 Mar 2014 23:40:02 +0800
parents 5ff8218bcee9
children 60fc6476e044
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1 #include <tommath.h>
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2 #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis
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4 *
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5 * LibTomMath is a library that provides multiple-precision
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6 * integer arithmetic as well as number theoretic functionality.
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7 *
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8 * The library was designed directly after the MPI library by
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9 * Michael Fromberger but has been written from scratch with
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10 * additional optimizations in place.
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11 *
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12 * The library is free for all purposes without any express
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13 * guarantee it works.
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14 *
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15 * Tom St Denis, [email protected], http://math.libtomcrypt.com
284
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16 */
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17
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18 /* this is a modified version of fast_s_mul_digs that only produces
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19 * output digits *above* digs. See the comments for fast_s_mul_digs
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20 * to see how it works.
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21 *
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22 * This is used in the Barrett reduction since for one of the multiplications
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23 * only the higher digits were needed. This essentially halves the work.
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24 *
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25 * Based on Algorithm 14.12 on pp.595 of HAC.
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26 */
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27 int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs)
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28 {
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29 int olduse, res, pa, ix, iz;
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30 mp_digit W[MP_WARRAY];
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31 mp_word _W;
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32
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33 /* grow the destination as required */
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34 pa = a->used + b->used;
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35 if (c->alloc < pa) {
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36 if ((res = mp_grow (c, pa)) != MP_OKAY) {
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37 return res;
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38 }
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39 }
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40
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41 /* number of output digits to produce */
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42 pa = a->used + b->used;
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43 _W = 0;
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44 for (ix = digs; ix < pa; ix++) {
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45 int tx, ty, iy;
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46 mp_digit *tmpx, *tmpy;
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47
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48 /* get offsets into the two bignums */
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49 ty = MIN(b->used-1, ix);
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50 tx = ix - ty;
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51
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52 /* setup temp aliases */
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53 tmpx = a->dp + tx;
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54 tmpy = b->dp + ty;
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55
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56 /* this is the number of times the loop will iterrate, essentially its
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57 while (tx++ < a->used && ty-- >= 0) { ... }
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58 */
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59 iy = MIN(a->used-tx, ty+1);
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60
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61 /* execute loop */
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62 for (iz = 0; iz < iy; iz++) {
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63 _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--);
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64 }
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65
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66 /* store term */
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67 W[ix] = ((mp_digit)_W) & MP_MASK;
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68
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69 /* make next carry */
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70 _W = _W >> ((mp_word)DIGIT_BIT);
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71 }
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72
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73 /* setup dest */
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74 olduse = c->used;
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75 c->used = pa;
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76
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77 {
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78 register mp_digit *tmpc;
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79
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80 tmpc = c->dp + digs;
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81 for (ix = digs; ix < pa; ix++) {
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82 /* now extract the previous digit [below the carry] */
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83 *tmpc++ = W[ix];
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84 }
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85
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86 /* clear unused digits [that existed in the old copy of c] */
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87 for (; ix < olduse; ix++) {
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88 *tmpc++ = 0;
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89 }
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90 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
91 mp_clamp (c);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
92 return MP_OKAY;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
93 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
94 #endif
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
95
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
96 /* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
97 /* $Revision: 1.5 $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
98 /* $Date: 2006/11/14 03:46:25 $ */